Orientability through the algebraic multiplicity
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Publication:6171183
DOI10.1007/s11784-023-01062-yOpenAlexW4380867115MaRDI QIDQ6171183
Julián López-Gómez, Juan Carlos Sampedro
Publication date: 17 July 2023
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-023-01062-y
spectral theorydegree theoryorientationpath integrationalgebraic multiplicitytopological \(K\)-theory
Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Degree theory for nonlinear operators (47H11) Spectral theory; eigenvalue problems on manifolds (58C40)
Cites Work
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- Atiyah-Singer index theorem. An introduction
- Algebraic multiplicity of eigenvalues of linear operators
- Optimal multiplicity in local bifurcation theory. I: Generalized generic eigenvalues
- Optimal multiplicity in local bifurcation theory. II: General case
- Degree theory for \(C^1\) Fredholm mappings of index 0
- Orientability of Fredholm families and topological degree for orientable nonlinear Fredholm mappings
- Theta-function identities and the explicit formulas for theta-function and their applications
- New analytical and geometrical aspects of the algebraic multiplicity
- Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier
- Algebraic multiplicity and topological degree for Fredholm operators
- The homotopy type of the unitary group of Hilbert space
- Orientation of Fredholm maps
- Vektorraumbündel und der Raum der Fredholm-Operatoren
- Bifurcation from simple eigenvalues
- On orientability and degree of Fredholm maps
- Parity and Generalized Multiplicity
- Orientation and the Leray-Schauder theory for fully nonlinear elliptic boundary value problems
- BANACH BUNDLES AND LINEAR OPERATORS
- ON THE UNIQUENESS OF THE ALGEBRAIC MULTIPLICITY
- Wiener Measures on Riemannian Manifolds and the Feynman-Kac Formula